Answers
Answer:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute
[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]
Subtract 121 from both sides to isolate B
[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]
Take the square root of both sides to isolate b
[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]
Related Questions
How do I do this????
Answers
Answer:
your answer will be 10 and that rounded to the nearest hundredth is 100.
Step-by-step explanation:
i really hope this is right
2.5h + 3.1 = 13.1 what is h?
Answers
Answer:
h=4
Step-by-step explanation:
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answers
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. the baseball team sold 36 more individual tickets than group tickets. the fundraiser raised $574 as a result of all ticket sales. if x is the number of the individual tickets that were sold and y is the number of group tickets that were sold, how many individual tickets were sold (what is the value of x)?
Answers
To form equations from word problems, we can do the following:
Identify variablesFind key informationIdentify word equations and translate into numerical equationsSolveSolving the QuestionWe're given:
Let x be the number of individual tickets that were soldLet y be the number of group tickets soldCost of 1x = 7 dollarsCost of 1y = 16 dollarsBaseball team: 36 more x than y⇒ x = 36 + yFundraiser raised 574 dollars in total
⇒ 7x + 16y = 574 dollars
Question: How many individual tickets were sold? (What is the value of x?)
Here are all the equations we have created:
x = 36 + y7x + 16y = 574We can solve for the value of x using systems of equations.
First, isolate y in the first equation:
[tex]x = 36 + y\\y=x-36[/tex]
Now, plug this into the second equation:
[tex]7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50[/tex]
Therefore, x is equal to 50.
Answer50 individual tickets were sold.
By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years
Answers
Answer:
The closest answer would be 7 years
Step-by-step explanation:
In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.
Answer: answer would be 7 years
Step-by-step explanation:
just did it
(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answers
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22
A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the diagonal of a face of the cube? round to the nearest tenth. 7.1 cm 12.2 cm 13 cm 15 cm
Answers
A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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Answer: ITS B (12.2)
Step-by-step explanation:
I am the lizard king, I can do anything.
Define relation in math
Answers
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
Step-by-step explanation:
Which statements are true about function g?
Answers
Answer:
The domain is all real numbers
The y - intercept is 2
The function is decreasing over its entire domain
4y+8-2y if y=3 what is the answer
Answers
Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?
Answers
Answer:
See below
Step-by-step explanation:
You don't give any options, but here's the information you can get from just the equation itself:
Since your polynomial is a 4th-degree polynomial, I would expect to see 3 turning points at most. I would also expect to see zeroes at x=0, x=5, and x=-5Look for these characteristics and find the appropriate graph.
PLEASE HELP ME WITH THIS QUESTION
Answers
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
Which function is represented by the graph?
Answers
Answer:
cos(x-[tex]\frac{pi}{4}[/tex])-2
Step-by-step explanation:
The function is cos(x).
The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).
The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.
The x-axis is in radians. Desmos has option to change it to radian.
LAST CHANCE FOR TONS OF POINTS!!!!!!! AND BRAINLIEST!!!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answers
Answer:
6
Step-by-step explanation:
Drag each tile to the correct box. arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. 3x 8 4x 3 x2 6 3x 4x x2 ↓ ↓ ↓ ↓ ↓
Answers
The functions in ascending orders are:
1. 3x
2. 3x + 8
3. x^2
4. x^2 + 6
5. 4^x
6. 4^x + 3
What is a function?A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.
Note that in the above such as 3x, 3x + 8, the functions in ascending orders as it start with the function that has it least value.
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A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?
a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40
Answers
From the calculation, we can see that, the probability that an employee has registered for both recreational activities and gym memberships is 1/40.
What is probability?The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.
Given that;
Number that registered for recreational activities = 95
Number that registered for gym membership = 80
Number that did not register at all = 30
Total number of gym employees =200
Hence; 95 + 80 +30 =205
Number that registered for both recreational activities and gym membership
= 205 - 200 =5
The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40
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help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
Answers
f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts
similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)
HELP PLEASE!!!!!!! not Hubby097 tho
Answers
Answer:
729.
Step-by-step explanation:
-3 /1 =-3
9 / -3= -3
-27/9 = -3
So this is a geometric sequence with common ratio r = -3.
First term a = 1 so
nth term = ar^(n-1)
= 1(-3)^(n-1)
7th term = 1(-3)^(7-1)
= (-3)^6
= 729.
121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.
Answers
Answer: The answer is D. 72 cu ft.
Step-by-step explanation:
help me with math please
Answers
Answer:
B. x ~ 5
This is a right isosceles triangle
A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°. Is Charlene’s definition valid?
Answers
Answer:
YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE
Step-by-step explanation:
i got it right on TTM
A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
Answers
The water tank hold 863.50 [tex]ft^{3}[/tex] of water.
What is Volume of cylinder?
The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The water tank is in the shape of cylinder whose radius = 5 feet
and, height= 11 feet
Volume of water tank =[tex]\pi r^{2} h[/tex]
= 3.14 * 5 * 5 * 11
= 3.14*25*11
= 863.50 [tex]ft^{3}[/tex]
Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.
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Find the sum of 2/3 and it’s additive inverse
Answers
Answer:
0
Step-by-step explanation:
2/3 additive inverse is 2/3
-2/3+2/3 is neutral = zero
-2/3+2/3 = 0
The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.
Answers
Answer:
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mStep-by-step explanation:
Area Formula
*Area* = *Length* × *Width*Given
Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) metersSolving
(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]Dimensions
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mNow
Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4Take it positive
L=4(7)-3=28-3=25B=2(7)+6=20The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a comma between your answers. b) Use the graph to find the solutions of x³ + x² - 6x = 0 X = Note: Please use a comma between your answers. -5 -4 3 -2 у 104 8- 6 4 2 -1 O -2- -4 60 -6- -8 -10- 1 2 3 X₁ 4 5
Answers
Answer:
Below.
Step-by-step explanation:
(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.
(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.
1 point
11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11
Answers
Answer:
x = 22, y = 11√3
Step-by-step explanation:
Here,
x is the Hypotenuse side
y is the adjacent side.
11 is the opposite side.
Formula : -
sin θ = Opposite side / Hypotenuse side
Here,
θ = 30
Note : -
The value of sin 30 = 1 / 2
1 / 2 = 11 / x
Cross multiply,
x * 1 = 2 * 11
x = 22
By Pythagoras theorem,
11² + y² = x²
11² + y² = 22²
y² = 22² - 11²
22² = 11² x 2²
11² = 11² x 1²
y² = 11² ( 2² - 1 )
y² = 11² x ( 4 - 1 )
y² = 11² x 3
Square root on both sides,
y = 11√3
Becky spent h hours studying
plus an additional 2 hours
typing a report for the week. If
her total studying and work
time was 6.5 hours, how many
hours did she study for?
Write an equation to solve.
Answers
Answer:
6.5 = h + 2
h = 4.5
Step-by-step explanation:
We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5
Find the value of x in the parallelogram below.
Answers
Answer:
102
Step-by-step explanation:
78 and x are adjacent angles.
Sum of adjacent angles is 180 in a parallelogram.
78 + x = 180
x = 180 - 78
x = 102
Answer:
102°
Step-by-step explanation:
A parallelogram is a special type of quadrilateral that has both the pair of opposite sides parallel and equal.78+x= 180( adjacent angles in a parallelogram)
x=180-78=102°
An investment of $10,000 is invested for 6 years at r% pa compounded weekly. If the investment grows to $14320.44, calculate the value of r.
Answers
I m sorry I hv no idea
.........
Tara is making dinner for 9 people. she mixes 114 kilograms of rice with 500 grams of vegetables and 410 grams of meat. if all of the food is split evenly among the diners, what is the size of each serving?
a.240 grams
b.244 grams
c.250 grams
d.256 grams
Answers
Answer:
Step-by-step explanation:
Remark
An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.
Givens
rice = 114 grams
veggies = 500 grams
meat = 410 grams
Solution
Add the givens
114
500
410
Total = 1024 grams
If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.
Answer
None of those given
